login
A375991
Expansion of e.g.f. (3 - 2 * exp(x))^(3/2).
0
1, -3, 0, 9, 45, 252, 1935, 19989, 260190, 4063887, 73823445, 1527002694, 35408499885, 909389617497, 25618701424680, 785355764569749, 26024092206299505, 926859918577582332, 35306305954587340515, 1432301360556686816529, 61649353087003554947550
OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..n} (Product_{j=0..k-1} (2*j-3)) * Stirling2(n,k).
PROG
(PARI) a(n) = sum(k=0, n, prod(j=0, k-1, 2*j-3)*stirling(n, k, 2));
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Seiichi Manyama, Sep 05 2024
STATUS
approved